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Finding the Third Proportional to 258,150.38 and 362,890.13

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Solution

The third proportional to 258,150.38 and 362,890.13 is: 510,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,150.38 : 362,890.13 = 362,890.13 : x
  2. Step 2: Convert to fraction form
    258,150.38/362,890.13 = 362,890.13/x
  3. Step 3: Cross multiply
    258,150.38x = 362,890.13 × 362,890.13
  4. Step 4: Simplify right side
    258,150.38x = 131,689,242,822.52
  5. Step 5: Solve for x
    x = 131,689,242,822.52/258,150.38
  6. Step 6: Final answer
    x = 510,126.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.